08eb78a5b2
This PR sets up the new integrated test/bench suite. It then migrates all benchmarks and some related tests to the new suite. There's also some documentation and some linting. For now, a lot of the old tests are left alone so this PR doesn't become even larger than it already is. Eventually, all tests should be migrated to the new suite though so there isn't a confusing mix of two systems.
15 lines
1 KiB
Text
15 lines
1 KiB
Text
inductive Pos.below : {motive : (a : Expr) → Pos a → Prop} → {a : Expr} → Pos a → Prop
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number of parameters: 1
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constructors:
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Pos.below.base : ∀ {motive : (a : Expr) → Pos a → Prop} (n : Nat), Pos.below ⋯
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Pos.below.add : ∀ {motive : (a : Expr) → Pos a → Prop} {e₁ e₂ : Expr} (a : Pos e₁) (a_1 : Pos e₂),
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Pos.below a → motive e₁ a → Pos.below a_1 → motive e₂ a_1 → Pos.below ⋯
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Pos.below.fn : ∀ {motive : (a : Expr) → Pos a → Prop} {f : Nat → Expr} (a : ∀ (n : Nat), Pos (f n)),
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(∀ (n : Nat), Pos.below ⋯) → (∀ (n : Nat), motive (f n) ⋯) → Pos.below ⋯
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theorem Pos.brecOn : ∀ {motive : (a : Expr) → Pos a → Prop} {a : Expr} (t : Pos a),
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(∀ (a : Expr) (t : Pos a), Pos.below t → motive a t) → motive a t :=
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fun {motive} {a} t F_1 =>
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F_1 a t
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(Pos.rec (fun n => Pos.below.base n)
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(fun {e₁ e₂} a a_1 ih ih_1 => Pos.below.add a a_1 ih (F_1 e₁ a ih) ih_1 (F_1 e₂ a_1 ih_1))
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(fun {f} a ih => Pos.below.fn a ih fun n => F_1 (f n) (a n) (ih n)) t)
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